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3 years ago

What is the graph of y-3=-2/3(x+6)?

Mathematics

2 answers:

andreev551 [17]3 years ago

8 0

Answer: First graph is correct.

Step-by-step explanation:

Since we have given that

$y-3=\frac{-2}{3}(x+6)$

For this curve, we can interpretate that

slope of this line is $\frac{-2}{3}$

coordinates of this line = (-6,3).

Since it is in the form of "Two point slope form":

$y-y_0=m(x-x_0)$

Hence, First graph is correct.

jeka57 [31]3 years ago

4 0

The equation has a slope of -2/3 and a Y-intercept of -1.
So the first graph should be your answer

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If the Jackson family drive 135 miles on 6 gallons of gas, how many miles can they can they drive on 9 gallons?

drek231 [11]

Answer:

202.5 miles

Step-by-step explanation:

We find the unit rate of the mile per gallon

135/6

= 22.5

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3 years ago

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AleksAgata [21]

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2 years ago

2/5+4/7

horrorfan [7]

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3 years ago

Read 2 more answers

The circumference of Circle K is pi. The circumference of Circle L is 4xpi.

dmitriy555 [2]

Answer:

Ratio of circumferences: $\displaystyle\frac{1}{4}$

Ratio of radii: $\displaystyle\frac{1}{4}$

Ratio of areas: $\displaystyle\frac{1}{16}$

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is $\pi$

- The circumference of Circle L is $4\pi$

Therefore, the ratio of their circumferences would be:

$\displaystyle\frac{\pi}{4\pi}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for circumference is $C=2\pi r$ , where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is $\pi$ , or $1\pi$ , then its radius is $\displaystyle\frac{1}{2}$ .

If the circumference of Circle L is $4\pi$ , then its radius is $\displaystyle\frac{4}{2}$ , which is 2.

Therefore the ratio their radii would be:

$\displaystyle\frac{\frac{1}{2}}{{2}}$ ⇒ $\displaystyle\frac{1}{2}*\frac{1}{2}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for area is:

$A=\pi r^2$

First, let's find the area of Circle K:

$A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi$

Now, let's find the area of Circle L:

$A=\pi (2)^2\\A = 4\pi$

Therefore, the ratio of their areas would be:

$\displaystyle\frac{\frac{1}{4}\pi}{4\pi}$ ⇒ $\displaystyle\frac{\frac{1}{4}}{4}$ ⇒ $\displaystyle\frac{1}{4} * \frac{1}{4}$ ⇒ $\displaystyle\frac{1}{16}$ when simplified